Algebra/Topology seminar

Speaker: Yash Deshmukh

Title: Algebraic structures related to curve counting in symplectic manifolds

Abstract: I will talk about results describing the effect of trivializing certain S1-families of operations in the properad of Riemann surfaces. In particular, I will discuss how this properad is related to the Deligne-Mumford properad. I will indicate how this comes up in the context of mirror symmetry and the problem of extracting Gromov-Witten invariants from Fukaya categories. I will also talk about the properad of a new class of nodal Riemann surfaces satisfying the so called 'plumber's condition' that seems to arise naturally in an alternative strategy for computing Gromov-Witten invariants of symplectic manifolds.